What is the Greatest Common Factor of 42882 and 42896?

Greatest common factor (GCF) of 42882 and 42896 is 14.

GCF(42882,42896) = 14

We will now calculate the prime factors of 42882 and 42896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42882 and 42896.

How to find the GCF of 42882 and 42896?

We will first find the prime factorization of 42882 and 42896. After we will calculate the factors of 42882 and 42896 and find the biggest common factor number .

Step-1: Prime Factorization of 42882

Prime factors of 42882 are 2, 3, 7, 1021. Prime factorization of 42882 in exponential form is:

42882 = 2¹ × 3¹ × 7¹ × 1021¹

Step-2: Prime Factorization of 42896

Prime factors of 42896 are 2, 7, 383. Prime factorization of 42896 in exponential form is:

42896 = 2⁴ × 7¹ × 383¹

Step-3: Factors of 42882

List of positive integer factors of 42882 that divides 42882 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1021, 2042, 3063, 6126, 7147, 14294, 21441

Step-4: Factors of 42896

List of positive integer factors of 42896 that divides 42882 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 383, 766, 1532, 2681, 3064, 5362, 6128, 10724, 21448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42882 and 42896. The biggest common factor number is the GCF number.
So the greatest common factor 42882 and 42896 is 14.

Also check out the Least Common Multiple of 42882 and 42896